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Physics / Physics: Principles with Applications 6 / Chapter 11 / Problem 11

Physics: Principles with Applications | 6th Edition | ISBN: 9780321569837 | Authors: Douglas C. Giancoli

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Answer: A mass attached to the end of a spring is

Chapter 11, Problem 11

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QUESTION:

A mass attached to the end of a spring is stretched a distance .v0 from equilibrium and released. At wrhat distance from equilibrium will it have acceleration equal to half its maximum acceleration?

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QUESTION:

A mass attached to the end of a spring is stretched a distance .v0 from equilibrium and released. At wrhat distance from equilibrium will it have acceleration equal to half its maximum acceleration?

ANSWER:

Step 1 of 2

The attached mass is released from the equilibrium, then the equation is given by

Here, is the initial distance, is the stretched distance, is the angular frequency and t is the time.

The acceleration of the mass is given by

Here, is the acceleration, is the maximum acceleration, is the angular frequency and t is the time.

If the acceleration is half the maximum acceleration at a distance from the equilibrium,

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